Search a number
-
+
201553920 = 211395
BaseRepresentation
bin11000000001101…
…11100000000000
3112001021000000000
430000313200000
5403044211140
632000000000
74665115521
oct1400674000
9461230000
10201553920
11a3854497
1257600000
13329ac699
141caa8848
1512a64a30
hexc037800

201553920 has 240 divisors, whose sum is σ = 725404680. Its totient is φ = 53747712.

The previous prime is 201553903. The next prime is 201553927. The reversal of 201553920 is 29355102.

It is a Jordan-Polya number, since it can be written as 6! ⋅ (3!)7.

201553920 is a `hidden beast` number, since 20 + 1 + 553 + 92 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (201553927) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 40310782 + ... + 40310786.

Almost surely, 2201553920 is an apocalyptic number.

201553920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201553920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362702340).

201553920 is an abundant number, since it is smaller than the sum of its proper divisors (523850760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

201553920 is an frugal number, since it uses more digits than its factorization.

201553920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 54 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 27.

The square root of 201553920 is about 14196.9686905339. The cubic root of 201553920 is about 586.3142051845.

The spelling of 201553920 in words is "two hundred one million, five hundred fifty-three thousand, nine hundred twenty".